Finite index subgroups of conjugacy separable groups

✍ Scribed by Chagas, Sheila C.; Zalesskii, Pavel A.

• Book ID: 121677782
• Publisher: Walter de Gruyter GmbH & Co. KG
• Year: 2009
• Tongue: English
• Weight: 148 KB
• Volume: 21
• Category: Article
• ISSN: 0933-7741
• DOI: 10.1515/FORUM.2009.016

✦ Synopsis

We construct an example of conjugacy separable group possessing a subgroup of finite index which is not conjugacy separable. We give also a sufficient condition for a conjugacy separable group to preserve this property when passing to subgroups of finite index. We establish also conjugacy separability of finitely presented residually free groups using impressive results of Bridson and Wilton [BW-07].